Problema Solution
Half the perimeter of a rectangle is 15 cm. if the difference between the length and the width is 13cm, find the area of the rectangle.
Answer provided by our tutors
let
l = the length of the rectangle
w = width of the rectangle
P = 2*(l + w) is the perimeter of the rectangle
P/2 = 15
2*(l + w) / 2 = 15
l + w = 15
the difference between the length and the width is 13cm:
l - w = 13
A = l*w the area of the rectangle
by solving the system of equations
l + w = 15
l - w = 13
we find
l = 14 cm
w = 1 cm
A = 14*1 = 14 cm^2
The area of the rectangle is 14 cm^2.